Name
Title | ||
|---|---|---|
A fully diagonalized spectral method using generalized Laguerre functions on the half line. |
Abstract | ||
|---|---|---|
A fully diagonalized spectral method using generalized Laguerre functions is proposed and analyzed for solving elliptic equations on the half line. We first define the generalized Laguerre functions which are complete and mutually orthogonal with respect to an equivalent Sobolev inner product. Then the Fourier-like Sobolev orthogonal basis functions are constructed for the diagonalized Laguerre spectral method of elliptic equations. Besides, a unified orthogonal Laguerre projection is established for various elliptic equations. On the basis of this orthogonal Laguerre projection, we obtain optimal error estimates of the fully diagonalized Laguerre spectral method for both Dirichlet and Robin boundary value problems. Finally, numerical experiments, which are in agreement with the theoretical analysis, demonstrate the effectiveness and the spectral accuracy of our diagonalized method. |
Year | DOI | Venue |
|---|---|---|
2017 | https://doi.org/10.1007/s10444-017-9522-3 | Adv. Comput. Math. |
Keywords | Field | DocType |
Spectral method,Sobolev orthogonal Laguerre functions,Elliptic boundary value problems,Error estimates,76M22,33C45,35J25,65L70 | Boundary value problem,Mathematical optimization,Laguerre's method,Laguerre polynomials,Mathematical analysis,Sobolev space,Orthogonal basis,Half line,Spectral method,Dirichlet distribution,Mathematics | Journal |
Volume | Issue | ISSN |
43 | 6 | 1019-7168 |
Citations | PageRank | References |
2 | 0.39 | 11 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fu-jun Liu | 1 | 2 | 0.39 |
| Zhong-qing Wang | 2 | 140 | 20.28 |
| Hui-yuan Li | 3 | 5 | 1.14 |